http://www1.mengr.tamu.edu/aames/

Caltech Email:  ames at cds dot caltech dot edu

Texas Email: aames at tamu dot edu
 

I was postdoc at Caltech in the Control and Dynamical Systems Department under the guidance of John Doyle.

I completed my Ph.D. at the University of California at Berkeley in the Department of Electrical Engineering and Computer Sciences. My advisor was Shankar Sastry.  My mathematics advisor was Mariusz Wodzicki.  I also work with (and receive guidance from) Alberto Sangiovanni-Vincentelli, and Ruzena Bajcsy and Paulo Tabuada.

My research interests center around category theoretic methods in dynamical, control and hybrid systems, and formulations thereof, with a special emphasis on applications of geometric and topological techniques to mechanical and robotic systems..  

For more information on my research into bipedal robotic walking, follow the link: Chess Bipeds

I received a BS in Mechanical Engineering and a BA in Mathematics from the University of St. Thomas in 2001. I received a MA in Mathematics and a PhD in Electrical Engineering and Computer Sciences and the University of California, Berkeley in 2006.  I was a postdoc at Caltech from 2006 to 2008.

"Abstractness, sometimes hurled as a reproach at mathematics, is its chief glory and its surest title to practical usefulness."

-Eric Temple Bell

"Good general theory does not search for the maximum generality, but for the right generality."

-Mac Lane

"The whole concept of a category is essentially an auxiliary one; our basic concepts are essentially those of a functor and of a natural transformation ."

-Eilenberg and Mac Lane